Solution
Given
C = (7,-4) and D = (-8,-5)
CD = [? ]
We are finding the distance CD
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}^{}[/tex]
[tex]\begin{gathered} C=(7,-4)=(x_1,y_1) \\ D=(-8,-5)=(x_2,y_2) \\ x_1=7 \\ x_2=\text{ -8} \\ y_1\text{ = -}4 \\ y_2=\text{ -5} \\ \\ \\ \end{gathered}[/tex]
We substitute to the formula
[tex]\begin{gathered} d=\sqrt[]{(-8_{}-7)^2+(-5-(-4)^2} \\ d=\sqrt[]{(-15)^2+(-1)^2} \\ d=\sqrt[]{225^{}+1} \\ d=\sqrt[]{226} \\ \\ d=\pm15.033296 \\ So\text{ far is distance } \\ we\text{ choose the positive d=15.0 nearest tenth} \end{gathered}[/tex]
